Grade Math Practice Test - Home - St. James Parish Schools

Grade 5 Math Practice Test

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© 2012 by Louisiana Department of Education

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Test Administrator Instructions

When printing the PDF files for the three Math Sessions, be sure to set the Page Scaling drop-down menu on the Print screen to None, No Scaling, or Actual Size depending on the printer you are using. Otherwise measurement items may not be the correct size, which may impact student responses.

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This document contains a Practice Test that shows what each part, or session, of an actual grade 5 transitional math assessment is like.

The Practice Test may be used at home or at school for students to become familiar with the iLEAP test they will take in spring 2013. It can help students feel more relaxed when they take the actual test.

The iLEAP Assessment Guides provide information on the overall design of the actual test, as well as sample test items and suggested informational resources. The Assessment Guides for each grade can be found on the Louisiana Department of Education’s website.

The mathematics test has three sessions to be taken separately:

� Session 1 (pages 3 to 18) includes 30 multiple-choice questions—a calculator may not be used.

� Session 2 (pages 20 to 30) includes 20 multiple-choice questions—a calculator may be used.

� Session 3 (pages 33 and 34) includes 2 constructed-response questions—a calculator may be used.

A Mathematics Reference Sheet, which students may use for all sessions, is located on page 37.

Students respond to multiple-choice items using the Answer Sheets on pages 35 and 36 and constructed-response items using pages 33 and 34 of Session 3.

The Answer Keys and Scoring Rubrics, used to score student responses, are located on pages 38 to 41.

http://www.doe.state.la.us/topics/assessment_guides.html

iLEAP Practice Test—Grade 5 Math

Math Grade 5 Page 1

Math—Sessions 1, 2, and 3GENERAL INSTRUCTIONS

The Math test has three sessions, two with multiple-choice questions and one with constructed-response questions. You may not use a calculator for session 1, but you may use a calculator for sessions 2 and 3.

Math Grade 5 Page 2

Write your answers for questions 1 through 30 in the spaces provided on page35, session 1 answer sheet. Write only one answer for each question. You maywork problems in your test booklet or on scratch paper, but you must mark youranswer on your answer sheet. You may review your work in this session but donot work on any other session.

You may NOT use a calculator for this session.

1. Julia collects colored beads for craft projects. Of Julia’s beads, 49 are silver, 1

5 are gold,and 1

4 are blue. The rest of the beads are red. Which expression gives the closest estimateof the fraction of red beads Julia has?

A. 121 – – 1

212–

B. 231 – – 1

313–

C. 141 – – 1

414–

D. 251 – – 1

515–

Session 1—Math (No Calculator)

Math Grade 5 Page 3 GO ON TO THE NEXT PAGE �

2. A parking lot has 200 parking spaces. On Friday evening, 58 of the spaces were filled with cars.

On Saturday evening, 34 of the parking spaces were filled. On Sunday evening, the fraction of

the spaces filled was between 58 and 3

4. Which fraction of the parking spaces could havebeen filled on Sunday evening?

A. 45

B. 710

C. 78

D. 1120

3. Use the triangles below to answer the question.

How can all three triangles be classified?

A. Equilateral

B. Isosceles

C. Obtuse

D. Right



4. Jeremy has a bag of marbles. The fraction of the marbles that are orange is 411. The fraction of

the marbles that are yellow is 211. What is the total fraction of Jeremy’s marbles that are

orange or yellow?

A. 622

B. 822

C. 611

D. 811



5. The amount of money Ben spent at an amusement park is shown in the table below.

Money Spent

Activity Cost

admission $6.50

food $10.75

games $17.50

souvenirs $16.75

Ben rounded all the values down to estimate that he spent less than $50.00 at the amusementpark. Which statement identifies whether Ben’s estimation was correct or incorrect andexplains why?

A. Ben is correct in rounding down to the nearest $1 to get an estimate of $49, just below $50.

B. Ben is incorrect. He should round up to the next $1 to get an estimate of $53, just above $50.

C. Ben is correct in rounding down to the nearest $10 to get an estimate of $30, far below $50.

D. Ben is incorrect. He should round up to the next $10 to get an estimate of $70, far above$50.

6. A grocery store sells juice in glass bottles and plastic bottles. Of the juice bottles sold,45 were plastic. Which fraction is equal to the fraction of juice bottles sold that wereplastic?

A. 425

B. 1625

C. 2025

D. 2425



7. The table below shows the fractions of seats that are filled in 3 theaters.

A

B

C

Theater Fraction ofSeats Filled

Seats Filled in a Theater

6075

75100

75125

Which comparison of the fractions of seats filled in the 3 theaters is correct?

A. 6075

75125>

B. 6075

75100<

C. 75100

75125<

D. 75125

75100=



8. Daniel made a chocolate, a cream, and an apple pie that were the same size and shape for acelebration. After the celebration the following amounts of pie were remaining:

• 58 of the chocolate pie

• 16 of the cream pie

• 14 of the apple pie

Which is the closest estimate of the total amount of pie remaining?

A. 12 pie

B. 1 pie

C. 121 pies

D. 2 pies

9. Use the coordinate grid below to answer the question.

54321

0 1 2 3 4 5

A

B C

D

y

x

Which point is located at (4, 2) on the coordinate grid?

A. Point A

B. Point B

C. Point C

D. Point D



10. Three friends each played the same computer game. The table below shows the fraction of thegame each of them has completed.

Fraction of ComputerGame Completed

Name FractionCompleted

Akira

Connor

Duan

12

25

23

Which of the following statements is true?

A. Akira has completed less of the game than Duan has.

B. Connor has completed more of the game than Duan has.

C. Akira and Connor have completed the same amount of the game.

D. Connor and Duan have completed the same amount of the game.

11. A baseball team sold 215 youth tickets for $3 each and 467 adult tickets for $7 each. Whichexpression can be used to find how much more money the baseball team made on adulttickets than on youth tickets?

A. (215 × 3) – (467 × 7)

B. (215 × 7) – (467 × 3)

C. (467 × 3) – (215 × 7)

D. (467 × 7) – (215 × 3)



12. A shampoo bottle is 2745 full. Which fraction is equal to the fraction of the bottle that is full?

A. 35

B. 39

C. 75

D. 79

13. Jason has a rope that is 23325 feet long. He cuts off 7

163 feet and gives it to his friend. Whichexpression is closest to the actual length, in feet, of the rope that Jason has left?

A. 125 – 3

83

B. 345 – 1

23

C. 6 – 123

D. 6 – 143



14. The water level of a river increased after a rainstorm. The table below shows the amounts ofincrease, in fractions of a foot, at four towns along the river.

Boyce

Colfax

Montgomery

Town Amount ofIncrease (ft)

13

34

58

Increase in Water Level

Coushatta 512

Which town had the greatest increase in water level?

A. Boyce

B. Colfax

C. Montgomery

D. Coushatta

15. Jordan wants to calculate how far his bicycle goes after one rotation of its tires. Whichinformation does he need to calculate the distance?

A. The speed he pedals

B. The height of the bicycle seat

C. The circumference of the bicycle tires

D. The total distance he wants to ride



16. Dylan measured the length, in centimeters (cm), of his eraser.

1 2 3 4 5 6 7 8 9 10cm

Dylan’s Eraser

What is the length of Dylan’s eraser?

A. 5.04 cm

B. 5.4 cm

C. 6.06 cm

D. 6.6 cm

17. The cargo weight in Morten’s truck cannot be greater than 3 tons. He has 5,000 pounds ofcargo in his truck. What is the greatest amount of cargo weight Morten can add?

A. 2 tons

B. 5.5 tons

C. 1,000 pounds

D. 2,000 pounds

18. Ricky ate 37 of a cake, and Jane ate 2

7 of the same cake. What is the difference between thefraction of cake Ricky ate and the fraction of cake Jane ate?

A. 10

B. 17

C. 614

D. 67



19. Out of 14 cars in a parking lot, 9 cars are black and the rest of them are red. What is the ratioof black cars to red cars?

A. 5:14

B. 5:9

C. 9:14

D. 9:5

20. Which coordinate grid shows the points (1, 2), (2, 4), and (3, 1) graphed correctly?

A.

y

x

54321

0 1 2 3 4 5

C.

y

x

54321

0 1 2 3 4 5

B.

y

x

54321

0 1 2 3 4 5

D.

y

x

54321

0 1 2 3 4 5



21. Webster kept track of the weather for a month. The weather was rainy on 531 of the days and

windy on 431 of the days. On what fraction of the days was it either rainy or windy?

A. 962

B. 931

C. 2062

D. 2031

22. Micah walked 2432 of a mile. Which method shows how to simplify the fraction of a mile

Micah walked?

A. 2432 = 4

3

B. 24 – 2432 – 24

C. 2432

18×

D. 24 ÷ 832 ÷ 8



23. The table below shows the areas of some territories added to the United States.

Territories Added

Territory YearAdded

Area(Square Miles)

LouisianaPurchase 1803 827,192

Treaty ofFlorida 1819 72,003

Texas 1845 390,143

OregonTerritory 1846 285,680

Which is a reasonable comparison based on the table?

A. The area of the Louisiana Purchase is about equal to the total area of the other territories.

B. The area of the Louisiana Purchase is greater than the total area of the other territories.It is greater by less than 100,000 square miles.

C. The area of the Louisiana Purchase is greater than the total area of the other territories.It is greater by more than 300,000 square miles.

D. The area of the Louisiana Purchase is greater than the total area of the other territories.It is greater by more than 100,000 square miles but by less than 300,000 square miles.

24. Sasha is solving 2997

1197– by estimation. Which equation is the closest estimate?

A. – =35

15

25

B. – =39

19

29

C. 310

110– = 2

10

D. 3010

1010– = 20

10



25. A band played a concert that lasted one hour. The introduction to the concert was 640 of an

hour. The table below shows the length, in fractions of an hour, of each piece of music duringthe concert.

Band MusicPiece ofMusic

Time(Hour)

A

B

C

D

320

415

15

745

Which length of music, in hours, is the greatest?

A. 320

B. 415

C. 15

D. 745



26. Use your protractor to answer the following question.

A

B C

What is the measure of ABC?

A. 70°

B. 90°

C. 110°

D. 140°

27. An office building has 2 floors. The number of people who work on the first floor is 10 morethan twice the number of people who work on the second floor. The number of people workingon the first floor is 82. How many people work on the second floor?

A. 31

B. 36

C. 41

D. 46

28. Exactly 14 of a group is made up of fifth graders. Which statement about the group of

students could be true?

A. There are 2 fifth graders in the group of 6 students.

B. There are 12 fifth graders in the group of 42 students.

C. There are 22 fifth graders in the group of 88 students.

D. There are 32 fifth graders in the group of 35 students.



29. Gene has $35. He wants to buy a camera that costs $100. The inequality x + 35 ≥ 100 can beused to find the additional amounts of money, x, Gene can use to buy the camera. Whichnumber line represents all possible additional amounts of money, x, Gene can use tobuy the camera?

A.$50 $100 $150

B.$50 $100 $150

C.$50 $100 $150

D.$50 $100 $150

30. Mrs. Poling gives music lessons. Of her students, 25 play the trumpet and 3

8 play the saxophone.Mrs. Poling wants to find how much larger the fraction of her students who play the trumpet isthan the fraction who play the saxophone. How can Mrs. Poling find this amount?

A. Find the sum of 25 and 3

8 by using a common numerator

B. Find the sum of 25 and 3

8 by using a common denominator

C. Find the difference between 25 and 3

8 by using a common numerator

D. Find the difference between 25 and 3

8 by using a common denominator


Math Grade 5 Page 18STOP



Math Grade 5 Page 19

Write your answers for questions 31 through 50 in the spaces provided onpage 36, session 2 answer sheet. Write only one answer for each question.You may work problems in your test booklet or on scratch paper, but you mustmark your answer on your answer sheet. You may review your work in thissession but do not work on any other session.

You MAY use a calculator for this session.

31. Derek measured the heights, in inches, of 5 different plants as listed below.

382 , 3

42 , 122 , 3

82 , 182

Which line plot represents the heights, in inches, of the plants?

A.

2 3

×××

××

C.2 3

× × ×××

B.2 3

××

×××D.

2 3

××

×××

Session 2—Math (Calculator)


32. The weight of a bag of dried cranberries, in pounds, is represented by the shaded regions ofthe model below. The model equals 1 pound.

Which decimal represents the weight, in pounds, of the bag of dried cranberries?

A. 0.25

B. 0.32

C. 1.00

D. 32.00

33. Neil collects aluminum cans for recycling. On Monday, he collected 39 pound of aluminum cans.

On Tuesday, he collected 49 pound. Which equation shows how to find the sum of the

pounds of aluminum cans Neil collected on Monday and Tuesday?

A. 3 × 49 × 9

1281=

B. 3 + 49 + 9

718=

C. 3 + 49 = 7

9

D. 3 × 49

129=



34. Janelle is sending a package to her friend. She needs to calculate how much the packageweighs. Janelle uses the table below to find the total weight of the package.

Janelle’s Package

Object Weight

Pad of paper and a pencil 8 oz.

Coloring book 5 oz.

Dictionary 2 lb.

Toy 11 oz.

What is the total weight of the package?

A. 3 lb. 8 oz.

B. 5 lb. 6 oz.

C. 26 oz.

D. 56 lb.

35. Wendy’s play practice begins at 6:40 P.M. and ends at 8:35 P.M. How long isWendy’s practice?

A. 1 hour 55 minutes

B. 2 hours 5 minutes

C. 2 hours 55 minutes

D. 3 hours 5 minutes



36. One tank at an aquarium contains starfish and sea horses as shown below.

Paula found the ratio of starfish to sea horses in the aquarium. Which statement describes aratio that is equivalent to the ratio Paula found?

A. There are 3 starfish for every 5 sea horses.

B. There are 6 starfish for every 4 sea horses.

C. There are 20 starfish for every 9 sea horses.

D. There are 25 starfish for every 15 sea horses.

37. A box of cookies costs $4. Claire has $34. The inequality 4x ≤ 34 can be used to find thenumbers of boxes of cookies, x, Claire can buy with $34. Which inequality represents thenumbers of boxes of cookies, x, Claire can buy?

A. x ≤ 8

B. x ≤ 9

C. x ≤ 30

D. x ≤ 38



38. Luke has 5 bags of pens. Each bag has 19 black pens and 12 red pens. Which expressionshows the total number of pens that Luke has?

A. (5 × 19) + 12

B. 5 × (19 + 12)

C. 5 + (19 × 12)

D. (5 + 19) × 12

39. The number blocks below represent a decimal number.

Which decimal number is represented by the number blocks?

A. 0.13

B. 0.31

C. 1.03

D. 1.3

40. The land area of Terrebonne Parish is 25 square miles more than the total land area of AcadiaParish and Iberia Parish combined. The land area of Terrebonne Parish is 1,255 square miles.The land area of Iberia Parish is 575 square miles. What is the land area of Acadia Parish?

A. 655 square miles

B. 680 square miles

C. 705 square miles

D. 1,855 square miles



41. Pat made two phone calls. The first phone call lasted 615 of a minute. The second phone call

lasted 715 of a minute. Which statements explain how to find the difference in the lengths

of time for the two phone calls?

A. Add 6 and 7 to get a new numerator.Use 15 as the denominator.

B. Add 6 and 7 to get a new numerator.Add 15 and 15 to get a new denominator.

C. Subtract 6 from 7 to get a new numerator.Use 15 as the denominator.

D. Subtract 6 from 7 to get a new numerator.Subtract 15 from 15 to get a new denominator.

42. Leroy made the kite below for his sister.

Using your protractor, what is the measure of each angle formed by the intersection ofthe sticks in the center of the kite?

A. 40°

B. 90°

C. 120°

D. 180°



43. The model below represents the number of lightbulbs in Katie’s home.

Lightbulbs

The shaded lightbulbs represent the number of lightbulbs that are burnt out. Which ratio isequivalent to the ratio of burnt-out lightbulbs to working lightbulbs?

A. 5:12

B. 7:12

C. 5:7

D. 7:5

44. Hector’s family drove 561 miles to visit a relative. Then they drove another 126 miles to visit anamusement park. They drove the same number of miles each day for 3 days. How canHector’s family find the number of miles they drove each day?

A. Divide 561 by 3 and then add 126

B. Add 561 to 126 and then divide by 3

C. Multiply 561 and 3 and then subtract 126

D. Subtract 126 from 561 and then divide by 3



45. The graph shows the monthly average temperatures, in degrees Fahrenheit (°F), forNew Orleans and Chicago.

Average Temperature

Months

Tem

pera

ture

(°F)

908070605040302010

0Jan Mar May Jul Sep Nov

KeyNew Orleans Chicago

Which statement is true based on the graph?

A. July has the least difference between the monthly average temperatures in New Orleansand Chicago.

B. The highest monthly average temperature in Chicago is less than the lowest monthlyaverage temperature in New Orleans.

C. For each month, the monthly average temperature in New Orleans is about twice themonthly average temperature in Chicago.

D. New Orleans has a greater difference between the highest and lowest monthly averagetemperatures than the highest and lowest monthly average temperatures in Chicago.



46. In a small group of ducks, there are 6 males and 2 females. To model this, Jake drew thediagram below.

In a larger group of ducks, there is the same proportion of males and females as in the smallgroup. Which diagram could represent the number of males and females in the largergroup?

A.

B.

C.

D.



47. A small bat weighs about 25 ounce. A small hummingbird weighs about 14

25 ounce. Whichstatements explain how to find the difference in the weights of these animals?

A. Multiply the numerator and denominator of 25 by 5.

Subtract 10 from 14 to get the numerator.Use 25 as the denominator.

B. Multiply the numerator and denominator of 25 by 5.

Subtract 10 from 14 to get the numerator.Subtract 25 from 25 to get the denominator.

C. Multiply the denominator of 25 by 5.

Subtract 2 from 14 to get the numerator.Use 25 as the denominator.

D. Multiply the numerator of 25 by 5.

Subtract 10 from 14 to get the numerator.Subtract 5 from 25 to get the denominator.

48. The time in Seattle, WA, is 2 hours behind Baton Rouge, LA. What time is it in Seattle, WA,when it is 1:15 P.M. in Baton Rouge, LA?

A. 3:15 A.M.

B. 11:15 A.M.

C. 3:15 P.M.

D. 11:15 P.M.

49. Jan scored 3 more points in the basketball game than Stephany. Cindy scored 22 points, whichwas twice as many points as Jan. How many points did Stephany score?

A. 8

B. 11

C. 14

D. 19



50. Nicole mixed 73 cups of water with fertilizer for her plants. Which picture represents the cups

of water Nicole mixed?

A.

B.

C.

D.






Write your answers for questions 51 to 52 in the spaces provided below. Thequestions have more than one part. Show all the work you do to find youranswers. Even if you cannot answer all parts, answer as many as you can. Youmay still get points for answering part of a question. Be sure to write clearly.You may review your work in this session but do not work on any othersession.

You MAY use a calculator for this session.



51. For each soccer practice, the coach brings a total of 12 water bottles for the 8 players on theteam. This is shown in the model below.

A. Write two equivalent ratios to show the relationship between the number of waterbottles and the number of players on the team.

B. What fraction of a water bottle(s) does each player get?

C. Four more players join the team. The coach keeps the ratio of water bottles to playersthe same. What is the total number of water bottles the coach brings to practice?Show or explain your work.



52. Peter surveyed students in his school and asked them how many pets each of them had. Heused the totals for each grade and by gender to create the double bar graph shown below.

Number of Pets

Grade3 4 5 6 7

Num

ber o

f Pet

s16

14

12

10

8

6

4

2

0

KeyMale

Female

A. Which gender, male or female, had more pets based on the double bar graph shownabove? Show or explain how you know.

B. Peter then surveyed seventh graders. He found that male seventh graders had fewerpets than males from every other grade. What is one possible number of pets thatmale seventh graders had?

C. He also found that female seventh graders had more pets than every other gradeexcept for one. He also found that none of the pet amounts for females were thesame. How many pets did the female seventh graders have? How do you know thatyour answer must be the exact number of pets the female seventh graders had?

D. Draw the bars for your answers from Part B and Part C for seventh graders on thegraph above.



Multiple-Choice Answer Sheet

Name:

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Multiple-Choice Answer Sheet

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Multiple-Choice Answer Key

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Multiple-Choice Answer Key

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Constructed-Response Scoring Rubrics

Session 3

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